Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38

Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38

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Irshad AnwarUpdated on 20 Sep 2023, 04:31 PM IST

Hello CAT 2023 candidates,

Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38
CAT 60 days preparation- Day 38

The CAT exam 2023 for MBA admissions 2024–2026 will be held on November 26. In this CAT 2023 60-day preparation guide series of Careers360, we will discuss the strategies on Derangement and Ranking Arrangement Questions for day 38 that can help you prepare well and crack the CAT entrance test 2023.

This article includes Ranking arrangement questions, one-word substitution MCQs, and Logical deduction meaning. Aspirants can go through the article below for further practice questions on Ranking arrangement questions, one-word substitution questions and logical deduction questions. CAT Preparation 2023 in 60 days

Part-1: Quantitative Aptitude for CAT exam

CAT Exam Important Topic: Strategy to Prepare “Permutations and Combinations (Ranking and Derangements)” and ranking arrangement questions

Important Concept/Formula Used in Derangement

Problems on Derangement and Ranking

  1. Finding of Rank of a word in a dictionary with no alphabet is repeating: See link in references
  2. Finding the Rank of a word (if letters are repeating): See link in references
  3. Concept of Derangements: permutation of the elements of a certain set in a way that no element of that set appears in their original positions.
  4. The number of derangements of a set with n objects is given by the formula

1695205886483

CAT Exam: Previous Year CAT Questions On Permutations and Combinations (Ranking and Derangements)

Q1. All the rearrangements of the word "DEMAND" are written without including any word that has two D's appearing together. If these are arranged alphabetically, what would be the rank of "DEMAND"? [CAT PYQ]

A. 36 B. 74 C. 42 D. 86

Ranking Arrangement Questions With Answers: (B)

Total words formed from the word DEMAND = 6! /2! = 360

Total words formed from the word DEMAND where 2 D’s appear together = 5! = 120

Total words formed from the word DEMAND where 2D’s do not appear together =

360 – 120 = 240

Words starting with ‘A’, without two D’s adjacent to each = Words starting with A - Words starting with A where 2 D’s are together

⇒ Words starting with ‘A’, without two D’s adjacent to each = 5!/2! - 4! = 36.

Next letter is D (in alphabetical order from the letters of the word DEMAND)

Words starting with DA: 4! words = 24 words

Words starting with DEA = 3! = 6 words

Words starting with DEA = 3! = 6 words

Words starting with DEMA

=> First word is DEMADN

=> Second is DEMAND

Rank of DEMAND = 36 + 24 + 6 + 6 + 2 = 74

Derangement and Ranking

Q2. In how many ways can you put 6 letters into their respective envelopes such that exactly 4 go into the right envelope? [CAT Sample Question]

a) 24 b) 102 c)15 d) 530

Ranking Arrangement Questions With Answers: (C)

No of ways in which the 4 correct envelopes can be selected= 6C4 =15

Derangement of the remaining 2 envelopes & letters =

1695205886361

= 2! (1 -1 + ½) = 1

Total No of ways of arrangement = 1 x 15= 15.

CAT entrance exam: Prerequisite to Derangement

  1. Factorial

  2. Fundamental Principle of counting,

  3. Concept of Selection and Arrangement

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Tips and Tricks of Ranking Arrangement Questions for CAT

  1. For nCr to be greatest,

    • if n is even, r = n/2
    • if n is odd, r = (n + 1)/2 or (n – 1)/2
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  1. Number of squares in a square of n × n side = 12 + 22 + 32 + 42 + … n2

  2. Number of rectangles in a square of n × n side = 13 + 23 +33 + 43 + … n3. (This includes the number of squares.)

  3. Practice sample papers and questions based on previous years CAT Questions.

  4. Do not spend much time on this.

CAT study material: References to Study (Theory) Derangement and Ranking

  1. NCERT Class 11 Maths
  2. Concept Tree (YouTube, Link: https://www.youtube.com/watch?v=A4Fp-vP243k)
  3. CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=QCqj1ijqp8w)

CAT study material: References to Practice ranking arrangement questions

  1. How to prepare quantitative Aptitude for CAT by Arun Sharma.
  2. (CAT PYQs https://www.youtube.com/watch?v=P0UQxxR_slc)

Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2023 Syllabus Topic: Strategy to prepare “Logical Deduction” for CAT

Important Concepts/ Formulas used in Logical Deduction

Middle term: It is the term common to both the premise and is denoted by ‘M’.

Major premise: The premise in which the middle term is in place of the predicate is called a major premise.

Minor premise: The premise in which the middle term is in the place of the subject is called a minor premise.

Subject vs Predicate: Consider this question statement

  1. All cats are dogs
  2. Some dogs are birds
  3. No bird is a pig
  4. Some pigs are not birds.
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In all such statements, the first term is called the subject and the second is called the predicate.

CAT Exam: Previous years Questions on Logical Deduction from CAT/ MBA Entrance Exam:

Q1. Statements: No Arc is Circle. Some Arc are Triangles.

Conclusions:

Square are Circles

Some Triangles are Circles.

  1. The only conclusion I follow

  2. Only conclusion II follows

  3. Either I or II follows

  4. Neither I nor II follows

  5. Both I and II follow

Solution: [D]

Statement I is negative.

Statemnet II is negative.

Therefore Negative conclusion must be there.

But neither conclusion is negative.

Logical Deduction Questions

Q2. The question contains six statements, followed by four options of combinations of any three of the given sentences. Choose the option in which the combinations are logically related. Consider the first two as statements and the third as conclusions:

Statements:

  1. Some pinks are colour.
  2. No Blue is black.

Conclusions:

  1. All pink are spark.
  2. Some sparks are not E.
  3. Some yellow are black.
  4. Some pink are black.

1. ABD 2. ABF 3. CDE 4. BCF 5. NOT

Solution: (5)

Option

Statement 1

Statement 2

Conclusion

Remark

1

A (+ve)

B (-ve)

D (-ve)

True

2

A (+ve)

B (-ve)

F (+ve)

False

3

C (+ve)

D (-ve)

E(+ve)

False

4

B (-ve)

C (+ve)

F (+ve)

False

We must check option (1) only (rest are false); No common term is there A and B, so no conclusion can be drawn.

Hence answer is (5)

CAT entrance exam: Prerequisite

  1. Syllogism
  2. Venn Diagram

Tips and Tricks for CAT Logical Deduction Questions

  1. There should be three and only three distinct terms between two premises for the conclusion to be obtained.

  2. The middle term should be distributed at least once on the premises for the conclusion to be obtained.

Statement 1

Statement 2

Remark

Positive

Positive

+ve Conclusion

Positive

Negative

-ve Conclusion

Negative

Positive

-ve Conclusion

Negative

Negative

No Conclusion

  1. Learn the rule of distribution (See References to Study Link)

  2. Practice Sample Papers.

References to CAT Study (Theory) Logical Deduction

  1. LRDI by Nikhil K. Sinha
  2. Concept Tree (YouTube link: https://www.youtube.com/watch?v=lkyRADOwUuY)
  3. (YouTube link: https://www.youtube.com/watch?v=lsl5y8xlqCw&t=442s)

References to Practice Logical Deduction questions

  1. Verbal and Non-Verbal Reasoning by R S Agrawal.
  2. MBA Entrance Previous years Papers and Sample Papers.

Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “One Word Substitution” and one word substitution questions for competitive exams such as CAT-2023

CAT Tips and Tricks for One Word Substitution Questions:

  1. Divide the One-word substitutions into the categories like

One Word Substitution for Study

Some Examples:

Printing using a stone or a metal plate with a completely smooth surface

Lithography

Mapping of earth and its formation

Geography

Words used for people with various qualities, habits, and abilities.

Some Examples:

The doctor who attends to corn in the feet and hands

Chiropodist

The doctor who deals with the female reproductive system

Gynecologist

Words for likes and dislikes

Some Examples:

One who loves and admires the British

Anglophile

One who loves without seriousness

Philanderer

Words used for practices & beliefs

Some Examples:

One who believes in many Gods

Polytheist

One who believes that God is the union of all forces of the universe

Pantheist

Words used for various kinds of killings

Some Examples:

the killing of a whole race

Genocide

The killing of a newborn child

Infanticide

There can be more categories like this.

  1. Remember the following factors while choosing a word for a sentence

  • Contextual
  • Grammatical
  • Tone of sentence
  • Insight
  1. Learning more about substitution will be helpful.

  1. Practice Sample questions.

CAT Previous Years' Questions on One Word Substitution MCQs

Sample Questions:

Directions: Choose the best substitute from the given options for highlighted phrase

Q.1. We visited the ancient palace yesterday, there we saw old manuscripts written by saints, we tried but it was not clear enough to be read.

  1. Corrigible
  2. Legible
  3. Negligible
  4. Illegible

Ans: [4]

One word substitution quiz with answers

Q.2. They organized a house party for Sara’s birthday but she does not get excited easily even if you put in a lot of effort and emotion.

  1. Gregarious
  2. Placid
  3. Inclement
  4. Frenzied

Ans: [2]

CAT 2023: Prerequisite to one word substitution MCQs

  1. Sentence Structure
  2. Vocabulary
  3. Parts of Speech

CAT exam: References to Study (Theory)

  1. One word substitution questions for competitive exams
  2. Wren and Martin
  3. (https://www.youtube.com/watch?v=3YPMi1RbSb0)

CAT exam: References to Practice one word substitution questions

  1. one-word substitution MCQs
  2. Verbal Ability for CAT by Arun Sharma and Meenakshi Upadhyay.
  3. CAT Previous years Papers and other MBA Entrance Exams.
  4. (youTube; Link: https://www.youtube.com/watch?v=1DU9ZWbGvLs)

Practice and remain focused, and we'll be back tomorrow with Day 39.

Thank you! All the best!

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Questions related to CAT

On Question asked by student community

Have a question related to CAT ?

With a 70 percent in CAT Examination, you can go for various B-Schools or private collages. The S. K. Patel Institute of Management in Gandhinagar is an option for those who score 70-80 percent in their CAT examination or The Gujarat Institute of Management (GIM) in Goa with a cutoff of 60-80 percentage. These are the collages you can look for in Gujarat or nearby.

Collage in other regions: BA Colleges Accepting 70-80 Percentile in CAT 2025

Thank You.

Hello dear candidate,

NO. your application for CAT will not rejected for wrong gender small mistake in the OBC NCL certificate. You will be considered as an OBC candidate.

you just need to get your OBC certificate corrected and need to inform the CAT helpdesk about this error.


Hello,

Here are some top MBA colleges in India with fees under Rs. 2 lakh and their exam/cutoff details:

  • SIMSREE, Mumbai – Fee around Rs. 1.3–1.4 lakh for 2 years. Accepts CAT, CMAT, MAH-CET, MAT, ATMA. Cutoff is very high, usually 99+ percentile in CAT/CMAT.

  • PUMBA (Dept. of Management Sciences, Savitribai Phule Pune University) – Fee around Rs. 1.2–1.3 lakh. Accepts CAT, CMAT, MAH-CET, ATMA. Cutoff approx. 75+ percentile in CAT, 90–95+ percentile in CMAT, high scores in MAH-CET.

  • TISS, Mumbai (MA HRM & other management-related programmes) – Fee around Rs. 1.7–1.9 lakh. Accepts CAT for some courses. Qualifying cutoff is around 60–70 percentile, but final selection cutoffs are higher.

These are the main government institutes where the full MBA/PG programme fee is within Rs. 2 lakh. Cutoffs vary slightly each year and by category, but SIMSREE and PUMBA generally need high scores, while TISS has its own process along with CAT shortlisting.

Hope it helps !

Hey! With a NEET score of 344 in the ST category, it is highly unlikely to get admission in any government BDS college in Delhi through the All India Quota. The cutoff for government BDS seats in Delhi usually falls around 400–450 for ST category, so your score is below that range.

You can consider private dental colleges, state quota seats in other states, or reattempt NEET next year to improve your chances.

Hello dear candidate,

YES, with NEET score 344in the ST category you have high chances of getting admission in a BDS College in J&K through JKBOPEE counselling.

check the seat availability and next participate in JKBOPEE Counselling with all the necessary documents.

Thank you.